What should be d one to convert a galvanometer into an ammeter. Obtain the formula for the shunt.
Answers
Answer:
A galvanometer can detect only small currents. Thus, to measure large currents it is converted into an ammeter. It can be converted into an ammeter by connecting a low resistance called shunt resistance in parallel to the galvanometer.
Let G be the resistance of the galvanometer and Ig be the current for full scale deflection in the galvanometer, the value of the shunt resistance required to convert the galvanometer into an ammeter of 0 to I ampere is,
S = I g × G I − I g
Ig is calculated using the equation, Ig = nk, where n is the number of divisions on the galvanometer and k is the figure of merit of galvanometer.
What is figure of merit of a galvanometer?
The figure of merit of a galvanometer is defined as the current required in producing a unit deflection in the scale of the galvanometer. It is represented by the symbol k and is given by the equation,
Where E is the e.m.f. of the cell and θ is the deflection produced with resistance R.
Let ‘l’ be the length of the resistance wire required for a resistance of S ohm,
where, r is the radius of the wire and ρ is the resistivity of the material of the wire.
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